activity
20182026
most citedUnique rectification in -complete posets: towards the -theory of Kac-Moody flag varieties

2 citations · 2 across the 10 of their papers we have counts for

collaborators

11 papers

cs.DS2026

Matroid Contention Resolution with Concentration

Stephen Arndt, Benjamin Moseley, Kirk Pruhs +1

Contention resolution schemes (CRS) are a fundamental and widely applied tool for rounding fractional solutions subject to combinatorial constraints. However, the known analyses of…

cs.DS2026

Approximation Algorithms for Matroid-Intersection Coloring with Applications to Rota's Basis Conjecture

Stephen Arndt, Benjamin Moseley, Kirk Pruhs +2

We study algorithmic matroid intersection coloring. Given matroids on a common ground set of elements, the goal is to partition into the fewest number of color clas…

cs.DS2025

A Better-Than-2 Approximation for the Directed Tree Augmentation Problem

Meike Neuwohner, Olha Silina, Michael Zlatin

We introduce and study a directed analogue of the weighted Tree Augmentation Problem (WTAP). In the weighted Directed Tree Augmentation Problem (WDTAP), we are given an oriented tr…

cs.DS2025

Efficiently Coloring the Intersection of a General Matroid and Combinatorial Matroids

Stephen Arndt, Benjamin Moseley, Kirk Pruhs +1

This paper shows a polynomial-time algorithm that, given a general matroid and partition matroids , produces a coloring of the intersection $M = \cap…

cs.DS2024

The Online Submodular Assignment Problem

Daniel Hathcock, Billy Jin, Kalen Patton +2

Online resource allocation is a rich and varied field. One of the most well-known problems in this area is online bipartite matching, introduced in 1990 by Karp, Vazirani, and Vazi…

cs.DS2024

The Online Submodular Assignment Problem

Daniel Hathcock, Billy Jin, Kalen Patton +2

Online resource allocation is a rich and varied field. One of the most well-known problems in this area is online bipartite matching, introduced in 1990 by Karp, Vazirani, and Vazi…

cs.DS2023

Approximation Algorithms for Steiner Connectivity Augmentation

Daniel Hathcock, Michael Zlatin

We consider connectivity augmentation problems in the Steiner setting, where the goal is to augment the edge-connectivity between a specified subset of terminal nodes. In the Stein…

cs.DS2022

Approximation algorithms for Steiner Tree Augmentation Problems

R. Ravi, Weizhong Zhang, Michael Zlatin

In the Steiner Tree Augmentation Problem (STAP), we are given a graph , a set of terminals , and a Steiner tree spanning . The edges $L := E \setmi…

math.CO2022

On packing dijoins in digraphs and weighted digraphs

Ahmad Abdi, Gérard Cornuéjols, Michael Zlatin

Let be a digraph. A dicut is a cut for some nonempty proper vertex subset such that , a dijoin is an arc subset that intersects…

cs.DS2021

On Small-Depth Tree Augmentations

Ojas Parekh, R. Ravi, Michael Zlatin

We study the Weighted Tree Augmentation Problem for general link costs. We show that the integrality gap of the ODD-LP relaxation for the (weighted) Tree Augmentation Problem for a…

math.CO2018★ 2 cited

Unique rectification in -complete posets: towards the -theory of Kac-Moody flag varieties

Rahul Ilango, Oliver Pechenik, Michael Zlatin

The jeu-de-taquin-based Littlewood-Richardson rule of H. Thomas and A. Yong (2009) for minuscule varieties has been extended in two orthogonal directions, either enriching the coho…